成长的圆形图形

成长的圆形图形

我需要绘制与计算算法相关的图形,该算法涉及圆在每个图形中增长和自我调整。稍后我需要使用椭圆代替圆形。有没有通用的方法来绘制它(某种程度上我可以用绘制椭圆命令代替绘制圆形命令)。图形如下 膨胀圈

对于椭圆 膨胀椭圆

包装第一步的 MWE 如下,(我使用绘图数字化仪来找到坐标

\documentclass{standalone}
\usepackage{tikz}

\begin{document}

\begin{tikzpicture}
\draw[black,dashed](1,1) rectangle (11,11);
\draw[black,thick] (1.2040104901,1.1317523057) circle (0.1cm);
\draw[black,thick] (5.8994695942,1.3162055336) circle (0.1cm);
\draw[black,thick] (10.5669335679,1.2898550725) circle (0.1cm);
\draw[black,thick] (4.1983631966,3.4110671937) circle (0.1cm);
\draw[black,thick] (8.2803428063,2.884057971) circle (0.1cm);
\draw[black,thick] (5.9119655049,4.3860342556) circle (0.1cm);
\draw[black,thick] (1.2345798853,5.3083003953) circle (0.1cm);
\draw[black,thick] (10.5727256638,6.046113307) circle (0.1cm);
\draw[black,thick] (1.5432771464,7.8115942029) circle (0.1cm);
\draw[black,thick] (5.8987187669,7.7984189723) circle (0.1cm);
\draw[black,thick] (10.7607006291,8.8919631094) circle (0.1cm);
\draw[black,thick] (1.2298067692,10.8023715415) circle (0.1cm);
\draw[black,thick] (4.460080124,11.0395256917) circle (0.1cm);
\draw[black,thick] (10.7549621637,10.8155467721) circle (0.1cm);

\end{tikzpicture}

\end{document}

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